Homotopy RG Flow and the Non-Linear $\sigma$-model
Mathematical Physics
2020-09-10 v5 Differential Geometry
math.MP
Quantum Algebra
Abstract
The purpose of this note is two give a mathematical treatment to the low energy effective theory of the two-dimensional sigma model. Perhaps surprisingly, our low energy effective theory encodes much of the topology and geometry of the target manifold. In particular, we relate the -function of our theory to the Ricci curvature of the target, recovering the physical result of Friedan.
Cite
@article{arxiv.1710.05973,
title = {Homotopy RG Flow and the Non-Linear $\sigma$-model},
author = {Ryan Grady and Brian R. Williams},
journal= {arXiv preprint arXiv:1710.05973},
year = {2020}
}
Comments
Fixed reference